Icosidodecahedron

An Archimedean Solid whose Dual Polyhedron is the Rhombic Triacontahedron. It is one of the two convexQuasiregular Polyhedra and has Schläfli Symbol. It is also Uniform Polyhedron and has Wythoff Symbol . Itsfaces are . The Vertices of an icosidodecahedron of Edge length are , , , ,, . The 30 Vertices of anOctahedron 5-Compound form an icosidodecahedron (Ball and Coxeter 1987). Faceted versions include the SmallIcosihemidodecahedron and Small Dodecahemidodecahedron.

The faces of the icosidodecahedron consist of 20 triangles and 12 pentagons. Furthermore, its 60 edges are bisected perpendicularlyby those of the reciprocal Rhombic Triacontahedron (Ball and Coxeter 1987).

The Inradius, Midradius, and Circumradius for unit edge length are

References

Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, p. 137, 1987.

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, p. 73, 1989.

• Permil
• Permutation
• Permutation Group
• Permutation Matrix
• Permutation Pseudotensor
• Permutation Symbol
• Permutation Tensor
• Peron Integral
• Perpendicular
• Perpendicular Bisector
• Perpendicular Foot
• Perrin Pseudoprime
• Perrin Sequence
• Perron-Frobenius Operator
• Perron-Frobenius Theorem
• Perron's Theorem
• Persistence
• Persistent Number
• Persistent Process
• Perspective
• Perspective Axis
• Perspective Center
• Perspective Collineation
• Perspective Triangles
• Perspectivity